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December 2016 Criterion for unlimited growth of critical multidimensional stochastic models
Etienne Adam
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Adv. in Appl. Probab. 48(4): 972-988 (December 2016).

Abstract

We give a criterion for unlimited growth with positive probability for a large class of multidimensional stochastic models. As a by-product, we recover the necessary and sufficient conditions for recurrence and transience for critical multitype Galton–Watson with immigration processes and also significantly improve some results on multitype size-dependent Galton–Watson processes.

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Etienne Adam. "Criterion for unlimited growth of critical multidimensional stochastic models." Adv. in Appl. Probab. 48 (4) 972 - 988, December 2016.

Information

Published: December 2016
First available in Project Euclid: 24 December 2016

zbMATH: 1358.60060
MathSciNet: MR3595762

Subjects:
Primary: 60J42
Secondary: 60J10, 60J80

Rights: Copyright © 2016 Applied Probability Trust

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Vol.48 • No. 4 • December 2016
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